Question 1
Ten years ago, the average age of a family of 4 members was 24 years. Two children having been born, the average age of the family is the same today. What is the present age of the children, assuming that the difference between their ages is 2 years?
(A) 4 and 2
(B) 5 and 3
(C) 6 and 4
(D) 7 and 5
Question 2
There are five cities connected by roads as shown:
If you design a route map so that a person can visit each city yet walk on all the roads exactly once, which can be one of the starting cities?
(A) B
(B) C
(C) D
(D) E
Question 3
Three friends, returning from a movie, stop to eat at a restaurant. After dinner, they paid their bills and were served mints on the table. Ram took 1/3rd of the mints, but returned four as he felt he had taken too much. Shyam then took 1/4th of what was left but returned three for similar reasons. Ravi then took half of the remainder but threw two back into the bowl. The bowl now had only 14 mints left. How many mints were originally in the bowl?
(A) 31
(B) 37
(C) 38
(D) None of these
Question 4
A cistern is filled by two pipes A and B in 4 hours and 6 hours respectively and emptied by a waste pipe C in 3 hours. When the cistern is half full A and B are closed and C is opened. After one hour B is turned on and after half an hour of B, A is also turned on. In what time after C is first opened, does the cistern become full?
(A) 11.5 hours
(B) 12.5 hours
(C) 13.5 hours
(D) None of these
Question 5
Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 p.m. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of the Train C if the distance between Delhi and Mumbai is 1260 km?
(A) 90
(B) 100
(C) 110
(D) 120
Please note that the official solutions to this test will be provided with Mission # 99 on 15th May.
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